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arXiv:physics/0608198 · Physical Review A

Determination of the Rb85 ng -series quantum defect by electric-field-induced resonant energy transfer between cold Rydberg atoms

K. Afrousheh, Parisa Bohlouli-Zanjani, Joseph A. Petrus, J. D. D. Martin

Published Dec 19, 2006• 33 citations
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Abstract

Resonant energy transfer between cold Rydberg atoms was used to determine Rydberg atom energy levels, at precisions approaching those obtainable in microwave spectroscopy. Laser cooled $^{85}\mathrm{Rb}$ atoms from a magneto-optical trap were optically excited to $32{d}_{5∕2}$ Rydberg states. The two-atom process $32{d}_{5∕2}+32{d}_{5∕2}\ensuremath{\rightarrow}34{p}_{3∕2}+30g$ is resonant at an electric field of approximately $0.3\phantom{\rule{0.3em}{0ex}}\mathrm{V}∕\mathrm{cm}$. This process is driven by the electric dipole-dipole interaction, which is allowed due to the partial $f$ character that the $g$ state acquires in an electric field. The experimentally observed resonant field, together with the Stark map calculation is used to make a determination of the $^{85}\mathrm{Rb}$ $ng$-series quantum defect ${\ensuremath{\delta}}_{g}(n=30)=0.00405(6)$.

DOI
10.1103/physreva.74.062712

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Resonant energy transfer between cold Rydberg atoms was used to determine Rydberg atom energy levels, at precisions approaching those obtainable in microwave spectroscopy. Laser cooled Rb atoms from a magneto-optical trap were optically excited to 32d Rydberg states. The two-atom process 32d(j=5/2) + 32d(j=5/2) -> 34p(j=3/2) + 30g is resonant at an electric field of approximately 0.3 V/cm. This process is driven by the electric dipole-dipole interaction, which is allowed due to the partial f character that the g state acquires in an electric field. The experimentally observed resonant field, together with the Stark map calculation is used to make a determination of the Rb ng-series quantum defect: delta_g (n=30) = 0.00405(6).

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I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii This thesis reports the first observation of the resonant electric dipole-dipole interaction between cold Rydberg atoms using microwave spectroscopy, the observation of the magnetic field suppression of resonant interactions, and the development of a unique technique for precise magnetic field measurements. ARydbergstate(46d 5/2) of laser cooled 85 Rb atoms has been optically excited. A fraction of these atoms has been transferred to another Rydberg state (47p 3/2 or 45f 5/2,7/2) to introduce resonant electric dipole-dipole interactions. The line broadening of the two-photon 46d 5/2 − 47d 5/2 microwave transition due to the interaction of 46d 5/2 with 47p 3/2 or 45f 5/2,7/2 atoms has been used as a probe of the interatomic interactions. This experiment has been repeated with a DC magnetic field applied. The application of a weak magnetic field ( ≤ 0.6 G) has reduced

•Jan 1, 2006•2 citations
Resonant energy transfer between cold Rydberg atoms was used to determine Rydberg atom energy levels, at precisions approaching those obtainable in microwave spectroscopy. Laser cooled 85Rb^{85}\mathrm{Rb}85Rb atoms from a magneto-optical trap were optically excited to 32d5∕232{d}_{5∕2}32d5∕2​ Rydberg states. The two-atom process 32d5∕2+32d5∕2\ensuremath→34p3∕2+30g32{d}_{5∕2}+32{d}_{5∕2}\ensuremath{\rightarrow}34{p}_{3∕2}+30g32d5∕2​+32d5∕2​\ensuremath→34p3∕2​+30g is resonant at an electric field of approximately 0.3V∕cm0.3\phantom{\rule{0.3em}{0ex}}\mathrm{V}∕\mathrm{cm}0.3V∕cm. This process is driven by the electric dipole-dipole interaction, which is allowed due to the partial fff character that the ggg state acquires in an electric field. The experimentally observed resonant field, together with the Stark map calculation is used to make a determination of the 85Rb^{85}\mathrm{Rb}85Rb ngngng-series quantum defect \ensuremathδg(n=30)=0.00405(6){\ensuremath{\delta}}_{g}(n=30)=0.00405(6)\ensuremathδg​(n=30)=0.00405(6).
Resonant energy transfer between cold Rydberg atoms was used to determine Rydberg atom energy levels, at precisions approaching those obtainable in microwave spectroscopy. Laser cooled Rb atoms from a magneto-optical trap were optically excited to 32d Rydberg states. The two-atom process 32d(j=5/2) + 32d(j=5/2) -> 34p(j=3/2) + 30g is resonant at an electric field of approximately 0.3 V/cm. This process is driven by the electric dipole-dipole interaction, which is allowed due to the partial f character that the g state acquires in an electric field. The experimentally observed resonant field, together with the Stark map calculation is used to make a determination of the Rb ng-series quantum defect: delta_g (n=30) = 0.00405(6).
This thesis reports the use of both dc and ac electric fi eld induced resonant \nenergy transfer, RET, between cold Rydberg atoms as a useful tool for enhancement \nof interatomic interactions. A general technique for laser frequency stabilization and \nits suitability for Rydberg atom excitation is also demonstrated. \nRET between cold Rydberg atoms was used to determine Rydberg atom energy \nlevels. The ⁸⁵Rb atoms are laser cooled and trapped in a magneto-optical trap. \nFor energy level determination experiment, atoms were optically excited to 32d₅/₂ \nRydberg states. The two-atom process 32d₅/₂ + 32d₅/₂ → 34p₃/₂+30g is resonant at \nan electric fi eld of approximately 0.3 V/cm through dipole dipole interaction. The \nexperimentally observed resonant fi eld, together with the Stark map calculation is \nused to make a determination of the ⁸⁵Rb ng-series quantum defect to be ⵒg(n = \n30) = 0.00405(6). \nThe ac Stark eff ect was also used to induce RET between cold Rydberg atoms. \nWhen a 28.5 GHz dressing field was set at speci fic fi eld strengths, the two-atom \ndipole-dipole process 43d₅/₂ + 43d₅/₂ → 45p₃/₂ + 41f was dramatically enhanced, \ndue to induced degeneracy of the initial and final states. This method for enhancing \ninteractions is complementary to dc electric- field-induced RET, but has more \n \nflexibility due to the possibility of varying the applied frequency. At a dressing field \nof 28.5 GHz all of the participating levels (43d₅/₂, 45p₃/₂ and 41f) show signi cant \nshifts and these give a complicated series of resonances. An oscillating electric \nfi eld at 1.356 GHz was also used to promote the above RET process where the \natoms are initially excited to the 43d₅/₂ Rydberg states. The ac fi eld strength was \nscanned to collect RET spectra. Di fferent resonances were observed for diff erent \nmagnetic sublevels involved in the process. Compared to the higher dressing field \nfrequency of 28.5 GHz, the choice of dressing frequency of 1.356 GHz, which is \nslightly blue detuned from the 41f - 41g transition, and structure of the spectra \nmay be understood, by analogy with the dc field case.
Resonant electric dipole-dipole interactions between cold Rydberg atoms were observed using microwave spectroscopy. Laser-cooled 85Rb atoms in a magneto-optical trap were optically excited to 45d(5/2) Rydberg states using a pulsed laser. A microwave pulse transferred a fraction of these Rydberg atoms to the 46p(3/2) state. A second microwave pulse then drove atoms in the 45d(5/2) state to the 46d(5/2) state, and was used as a probe of interatomic interactions. The spectral width of this two-photon probe transition was found to depend on the presence of the 46p(3/2) atoms, and is due to the resonant electric dipole-dipole interaction between 45d(5/2) and 46p(3/2) Rydberg atoms.
Laser-cooled 85Rb^{85}\mathrm{Rb}85Rb atoms were optically excited to 46d5∕246{d}_{5∕2}46d5∕2​ Rydberg states. A microwave pulse transferred a fraction of the atoms to the 47p3∕247{p}_{3∕2}47p3∕2​ Rydberg state. The resonant electric dipole-dipole interactions between atoms in these two states were probed using the linewidth of the two-photon microwave transition $46{d}_{5∕2}\text{\ensuremath{-}}47{d}_{5∕2}$. The presence of a weak magnetic field $\ensuremath{\approx}0.5\phantom{\rule{0.3em}{0ex}}\mathrm{G}$ reduced the observed line broadening, indicating that the interaction is suppressed by the field. The field removes some of the energy degeneracies responsible for the resonant interaction, and this is the basis for a quantitative model of the resulting suppression. A technique for the calibration of magnetic field strengths using the $34{s}_{1∕2}\text{\ensuremath{-}}34{p}_{1∕2}$ one-photon transition is also presented.
A microwave dressing field was used to induce resonant energy transfer in translationally cold Rydberg atoms. The Rb Rydberg atoms were obtained by laser excitation of cold atoms in a magneto-optical trap. When the amplitude of a 1.356 GHz dressing field was scanned, the two-atom dipole-dipole process 43d5/2 + 43d5/2 → 45p3/2 + 41f5/2,7/2 was enhanced due to the induced degeneracy of the initial and final states. The resulting spectrum had a series of resonant field amplitudes corresponding to different magnetic sublevels possible for the states involved. The scanned field amplitude was calibrated using microwave spectroscopy of the 43d5/2− 41f transition under the influence of non-resonant dressing fields. The calibrated resonant field amplitudes agree well with ac Stark shift calculations performed using the Floquet approach. This method for enhancing interactions is complementary to dc electric field induced resonant energy transfer, but benefits from the ability to shift energy levels in either direction by choice in frequency.
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii This thesis reports the first observation of the resonant electric dipole-dipole interaction between cold Rydberg atoms using microwave spectroscopy, the observation of the magnetic field suppression of resonant interactions, and the development of a unique technique for precise magnetic field measurements. ARydbergstate(46d 5/2) of laser cooled 85 Rb atoms has been optically excited. A fraction of these atoms has been transferred to another Rydberg state (47p 3/2 or 45f 5/2,7/2) to introduce resonant electric dipole-dipole interactions. The line broadening of the two-photon 46d 5/2 − 47d 5/2 microwave transition due to the interaction of 46d 5/2 with 47p 3/2 or 45f 5/2,7/2 atoms has been used as a probe of the interatomic interactions. This experiment has been repeated with a DC magnetic field applied. The application of a weak magnetic field ( ≤ 0.6 G) has reduced